A241143 Numbers n such that n and 7n share at least one digit.

5, 10, 13, 15, 16, 17, 18, 19, 20, 21, 25, 26, 29, 30, 31, 32, 33, 34, 35, 39, 40, 42, 43, 45, 49, 50, 51, 53, 55, 60, 64, 65, 66, 67, 68, 70, 71, 75, 80, 83, 84, 85, 86, 90, 95, 96, 97, 98, 99, 100, 101, 102, 103, 105, 107, 110, 113, 115, 116, 117, 118, 120, 123, 125, 126, 128, 129, 130, 131, 132, 133, 134, 135, 139, 140

Offset: 1

Author

Robert G. Wilson v, Apr 16 2014

Keywords

• base
• easy
• nonn

Comments

All numbers n which are congruent to 0 (mod 5) have this characteristic.

Examples

			13 is in the sequence since 13 and 7*13 = 91 and together they share the digit 1.
		

Crossrefs

Cf. A129845, A129846, A129848, A241141, A241142, A241144, A241145, A241146.

Programs

Mathematica

fQ[n_] := Intersection[ IntegerDigits[ n], IntegerDigits[7 n]] != {}; Select[ Range[ 100], fQ]